Latif Braha, NaimMansour, ToufikSrivastava, H.M.2021-06-032021-06-0320212021Latif Braha, N., Mansour, T., & Srivastava, H. M. (2021). A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators. Symmetry, 13(6), 1-24. https://doi.org/10.3390/sym13060980.https://doi.org/10.3390/sym13060980http://hdl.handle.net/1828/13016In this paper, we introduce and investigate a new class of the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators, which considerably extends the well-known class of the classical Baskakov-Schurer-Szász-Stancu approximation operators. For this new class of approximation operators, we present a Korovkin type theorem and a Grüss-Voronovskaya type theorem, and also study the rate of its convergence. Moreover, we derive several results which are related to the parametric generalization of the Baskakov-Schurer-Szász-Stancu operators in the weighted spaces. Finally, we prove some shape-preserving properties for the parametric generalization of the Baskakov- Schurer-Szász-Stancu operators and, as a special case, we deduce the corresponding shape-preserving properties for the classical Baskakov-Schurer-Szász-Stancu approximation operators.enapproximation operatorsparametric generalizationBaskakov-Schurer-Szász-Stancu operatorsKrovkin type theoremVoronovskaya type theoremrate of convergenceGrüss-Voronovskaya type theoremshape-preserving propertiesArticle